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Finding the Third Proportional to 86,023 and 185,229

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Solution

The third proportional to 86,023 and 185,229 is: 398,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,023 : 185,229 = 185,229 : x
  2. Step 2: Convert to fraction form
    86,023/185,229 = 185,229/x
  3. Step 3: Cross multiply
    86,023x = 185,229 × 185,229
  4. Step 4: Simplify right side
    86,023x = 34,309,782,441
  5. Step 5: Solve for x
    x = 34,309,782,441/86,023
  6. Step 6: Final answer
    x = 398,844.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.